2020 · Q65
A rectangle is 48 cm long and 14 cm wide. If the diagonal makes an angle θ with the longer side, then what is (sec θ + cosec θ) equal to?
Elementary MathematicsTrigonometry
- A775/168
- B725/168
- C375/84
- D325/84
Explanation
The diagonal of the 48 × 14 rectangle is √(2304 + 196) = 50. With θ against the longer side: secθ = 50/48 = 25/24 and cosecθ = 50/14 = 25/7. Their sum is 25/24 + 25/7 = 25×31/168 = 775/168.